In a large mixing bowl, combine the butter, sugar, salt, water, and almond extract mixing until smooth. Add the flour and combine. Mix in the pecans and cherries. Roll into 1-inch balls and place on a baking sheet. Using your fingers, flatten the cookies into discs (these are shortbread cookies and won't flatten more when cooking). Bake at 375F for 10-12 minutes. Transfer cookies to a cooling rack to cool completely.